Atkin-Lehner |
2+ 3+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592n |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-117954064863461376 = -1 · 227 · 311 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 11- -1 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-105025,21122113] |
[a1,a2,a3,a4,a6] |
j |
-488726621230609/449959048704 |
j-invariant |
L |
1.2120555227518 |
L(r)(E,1)/r! |
Ω |
0.30301385451291 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592cu1 2706p1 |
Quadratic twists by: -4 8 |